Letters in Mathematical Physics

, Volume 35, Issue 1, pp 1–12

Existence of bound states in quantum waveguides under weak conditions

  • W. Renger
  • W. Bulla
Article

Abstract

The existence of bound states in a plane quantum waveguide is proved under weak conditions: Within a bounded set a more general shape than a curved parallel strip is admitted and the curvature of the reference curve need not be differentiable. Furthermore, no upper bound for the width of the strip is required.

Mathematics Subject Classifications (1991)

81Q10 35P15 35J25 

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • W. Renger
    • 1
  • W. Bulla
    • 1
  1. 1.Institut für Theoretische PhysikTechnische Universität GrazGrazAustria

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